Answer:
4x + 1 is the simplified expression
Step-by-step explanation:
We have to use order of operations in order to solve. We basically need to simplify it with multiplication and addition.
The first step involves mulitplication and distribution property:
1) Do 1/2(4x + 2). If you use distribution property, it would be 1/2(4x) + 1/2(2)
2) Then use multiplication 1/2(4x) is 2x (since 4 multiplied by 1/2 is 2) and 1/2(2) is 1 (since 1/2 times 2 is 1).
Bow the expression is almost simplified as it is:
2x + 1 -(-2x)
The 2nd stop involves addition. First we have to know what -(-2x) means. Think of the negative sign on the outside as -1. This way it would be:
3) -1(-2x), and then do -1(-2) which is 2 since a negative times a negative is positive.
4) Now we know that -(-2x) is the same as: + 2x.
5) So the expression would be 2x + 1 + 2x. Combine like terms ( 2x and 2x) and you will get 4x + 1.
Hope you understood this and have a nice day!
2)
A car dealer is parking five new cars at his dealership.
Which of the following methods should be used to count the number of
possible ways to pick two cars to put in the showroom?
permutations
A)
combinations
B)
C) neither permutations nor combinations
Answer:
The method we could use is Combinations
Option B is correct option.
Step-by-step explanation:
We are given:
A car dealer is parking five new cars at his dealership. Which of the following methods should be used to count the number of possible ways to pick two cars to put in the showroom?
A) permutations
B) combinations
C) neither permutations nor combinations
First let us see, what is permutation and combinations.
Permutation
A permutation is defined as arranging the objects or numbers in a specific order.
Combinations
Combinations are defined as selecting the objects or numbers from a group in such a way that the order of the objects is not important.
So, in the given question, we need to pick 2 cars and order of the cars is not important, so we can say that we could use Combinations
Option B is correct option.
Can anyone please help me on this question I’m kinda stuck.
Answer:
They are the same
Step-by-step explanation:
The degree is basically all of the exponents added up. So:
A) 2+4 = 6
B) 2+3+1 = 6
(since x to the power of 1 is x)
So, they are the same
Please can anyone help?
Answer:
coefficient
Step-by-step explanation:
Answer:
Coefficient
Step-by-step explanation:
Help can you please solve this.
Answer:
x= -2
Step-by-step explanation:
7x+26+5x=2
7x+5x=12x
12x=2-26
12x= -24
(divide both sides by 12)
x= -2
Answer:
[tex]7x + 26 + 5x = 2 \\ 12x = 2 - 26 \\ 12x = - 24 \\ x = - 2[/tex]
plzz mark as brainliest
The diagram at right is the floor plan of Randy's apartment. All measurements are in feet. Use the diagram to answer the following questions.
Answer:
length 70 and width 35
Step-by-step explanation:
The dimensions (length and width) of Randy's living room are,
10 by 15 feet.
What is the rectangular shape?Quadrilaterals with parallel sides that are equal to one another and four equal vertices are known as rectangles.
The given diagram is the floor plan of Randy's apartment.
All measurements are in feet.
From the diagram:
The dimensions (length and width) of Randy's living room are,
10 by 15 feet.
Therefore, the dimensions are 10 by 15 feet.
To learn more about the rectangular;
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in algebra class with 30 students kids were put in groups of 4 if 2 students were left over how many groups of 4 students will there be
Answer:
7 groups of 4.
Step-by-step explanation:
hope this helps!
Derrick's Dog Sitting and Darlene's Dog Sitting are competing for new business. Derrick's Dog Sitting
charges $10 plus $9 per hour. Darlene's Dog Sitting charges $18 plus $7 per hour?
Answer
The cheaper dog sitter is Derrick's.
Step-by-step explanation:
You did not really ask a question here but i am assuming that your asking who is the cheaper route.
Write an equation in slope-intercept form of the line with slope −4/5 that contains the point (−5,−4)
.
y=−45x−5
y=−4/5x−8
y=−4/5x−4
y=−4/5x+4
Our point is (-5, -4)
Now use point slope form to find the equation: (y - y1) = m(x - x1)
(y - y1) = m(x - x1)
(y - (-4)) =-4/5(x - (-5))
y + 4 = -4/5x +4
An equation in slope-intercept form of the line is y = -4/5x - 8. The correct option is B.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the slope −4/5 contains the point (−5,−4). The equation of the line is written as,
y = mx + c
-4 = -4/5 x - 5 + c
-4 = 4 + c
c = -8
The equation will be written as,
y = -4/5x - 8
To know more about an equation of the line follow
To know more about an equation of the line follow
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The rate of people entering a safari tour is modeled by the equation p(t) = 200e ^ (- t) for the first 5 hoursEstimate the population density on a 2.000 km ^ 2 animal reserve for t = 2 to t = 4usir using the midpoint sum approximation with 6 subintervals . Round to the nearest person .
Answer:23
Step-by-step explanation:
What are the vertical and horizontal asymptotes for the function f (x) =[tex]\frac{x^{2}+x-6 }{x^{3}-1}[/tex]
A. vertical asymptote: x = 1
horizontal asymptote: none
B. vertical asymptote: x = 1
horizontal asymptote: y = 0
C. vertical asymptote: x = –2, x = 3
horizontal asymptote: y = 0
D. vertical asymptote: x = –2, x = –3
horizontal asymptote: none
Answer:
B. vertical asymptote: x = 1
horizontal asymptote: y = 0
Step-by-step explanation:
1) Vertical asymptotes of a function are determined by what input of x makes the denominator equal 0. So, let's set the denominator, [tex]x^3-1[/tex], equal to 0 and solve for x:
[tex]x^3-1= 0\\x^3 = 1\\\sqrt[3]{x^3} = \sqrt[3]{1} \\x = 1[/tex]
Thus, the vertical asymptote is x = 1.
2) If the degree of the polynomial in the denominator is greater than the one on the top, the horizontal asymptote is automatically y = 0. Thus, the horizontal asymptote is y = 0.
Answer:
B. x=1, y=0
Step-by-step explanation:
Vertical asymptote: denominator approximate 0
(x²+x-6)/(x³-1) ---> ±∞ as x ---> 1
x³-1 = 0
x³ = 1
x = ∛1 = 1
Horizontal asymptote: If the degree of the numerator is less than the degree of the denominator, then the horizontal asymptote is always the x axis, i.e. the line y = 0
degree of the numerator: 2
degree of the denominator: 3
2<3
Horizontal asymptote: y = 0
A box of cereal advertises that it now has 250% as many raisins as the old package had. If the old package had 2 cups of raisins, how many cups of raisins are in the new box?
A. 3
B.. 5
C. 6
D. 8
answer: B.5
i got the answers from the test
Answer:
b5
Step-by-step explanation:
write the rate as a unit rate of 120 and 15
Find the value of c. Give the answer in simplest radical form.
Answer:
x = 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + (2[tex]\sqrt{2}[/tex] )² = 4²
x² + 8 = 16 ( subtract 8 from both sides )
x² = 8 ( take the square root of both sides )
x = [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex]
Last year George sold $82 worth of vanishing potion. This year he sold $118 of it. What percent of last year's sales is this year's sales?
Answer:
70%
Step-by-step explanation:
Given data
Last years worth of vanishing potion= $82
This years worth of vanishing portion= $118
Note: Another way of asking this question is "what percent of $82 is $118"
So
=82/118*100
=0.69*100
=69%
=70% approx
Hence last years sale is 70% of this year's sales
Susan bought 12 ounces of candy. How many grams did she buy?
Answer: 340.2
Step-by-step explanation:
PLEASE HELP AS SOON AS POSSIBLE!!!!WILL GIVE BRAINLY TO CORRECT ANSWER!!!!
Answer:
The correct option which best describes this method is:
Find half of 24 to calculate the radius. Then square the radius and multiply the result by [tex]\pi[/tex]
Option D is correct option.
Step-by-step explanation:
The circumference of table top = 24 [tex]\pi[/tex] inches
We need to find area of table top
The formula used to find area is: [tex]Area = \pi r^2[/tex]
We need to find radius of tabletop.
The formula used to find circumference is: [tex]Circumference = 2\pi r[/tex]
Putting value of circumference we can find radius
[tex]Circumference = 2\pi r\\24\pi =2\pi r\\r=\frac{24\pi}{2\pi}\\r=12[/tex]
So, radius of table top = 12
Now, finding the area:
[tex]Area = \pi r^2\\Area=\pi(12)^2\\Area=3.14(144)\\Area=452.16\:inches^2[/tex]
So, the correct option which best describes this method is:
Find half of 24 to calculate the radius. Then square the radius and multiply the result by [tex]\pi[/tex]
Option D is correct option.
solve for x
4х + 2 = 3х - 7
How far would you travel if you drove 60 miles per hour for 3 hours?
please help i dont wanna fail my dad is making it hard already and my dinner is almost done...
Answer:
Without stopping? 180 miles
Step-by-step explanation:
Select the correct answer.
Simplify the expression so there is only one positive power for each base.
Answer:
A. is the correct answer
Step-by-step explanation:
got it correct on the unit test
Is the product of 41/32 and 12/46 greater than, less than or equal to 12/6?
Is the product of 41/32 and 12/46 greater than, less than or equal to 12/6?
Solution:Step 1: Find the product of 41/32 and 12/46.[tex] \frac{41}{32} \times \frac{12}{46} [/tex]
[tex] = \frac{41}{8} \times \frac{3}{46} [/tex]
[tex] = \frac{123}{368} [/tex]
Step 2: Compare.[tex]123 \times 6 = 738[/tex]
[tex]368 \times 12 = 4416[/tex]
[tex]738 < 4416[/tex]
[tex] \frac{123}{368} < \frac{12}{6} [/tex]
Answer:less than
#CarryOnLearning
Write -9.54 as a fraction in simplest form
Answer:
[tex]-9 \frac{27}{50}[/tex]
Step-by-step explanation:
convert y = -2x +5 to point slope form
Answer:
Converting y = -2x +5 to point-slope form will be:
[tex]y - 5 = -2(x-0)[/tex]Step-by-step explanation:
We know that the slope-intercept form of the line equation is
y = mx+b
where
m is the slopeb is the y-interceptGiven the equation
[tex]y = -2x +5[/tex]
comparing with the slope-intercept form
Slope of the line = m = -2
The y-intercept b = 5
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
Thus, the ordered pair or point representing the y-intercept will be:
(0, 5)Now, we have
The slope = m = -2The point = (0, 5)Now, using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointsubstituting the values m = -2 and the point (x₁, y₁) = (0, 5)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 5 = -2(x-0)[/tex]
Therefore, converting y = -2x +5 to point-slope form will be:
[tex]y - 5 = -2(x-0)[/tex]what's 1/4 x 1/3 please
Answer:1/12
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
Given m|n, find the value of x.
t
(7x+3)
m
(8x+1)°
Answer:
86.56 so we can do 6(x.3) by .(57)2
Step-by-step explanation:
answer correctly for brainliest +10 points
Answer:
D. - 2/3 MARK ME BRAINLIEST!!!!!!!!
Step-by-step explanation:
Please figure it out
I would give brainlest if your correct
Answer:
12n
Step-by-step explanation:
just have to cross multiply and then divides thats all
Do i add or multiply?
Answer:multiply
Step-by-step explanation: How volume works is you multiply width times height times width. In perimeter you do the same but since in perimeter the shape is 2d you only have to multiply the base times height..........
Solve for x: x — 10 = 3х – 12
Answer:
x=1
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
x−10−3x=3x−12−3x
−2x−10=−12
Step 2: Add 10 to both sides.
−2x−10+10=−12+10
−2x=−2
Step 3: Divide both sides by -2.
−2x/−2 = −2/−2
x = 1
(3x^2-2x+2)(3x^2+2x-4)
Answer:
9x^4 - 6x^3 + 4x - 4
Step-by-step explanation:
I got this answer but I don't know if I am correct. That's what i understood based off what you wrote.
Help me plz.................
Answer:
x = 7.5
Step-by-step explanation:
Given that the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{9}{x}[/tex] = [tex]\frac{6}{5}[/tex] ( cross- multiply )
6x = 45 ( divide both sides by 6 )
x = 7.5